On the minimum-norm least squares solution of the complex generalized coupled sylvester matrix equations

被引:4
作者
Huang, Baohua [1 ,2 ,3 ]
Ma, Changfeng [1 ,2 ]
机构
[1] Fujian Normal Univ, Sch Math & Stat, Fuzhou 350117, Peoples R China
[2] Fujian Normal Univ, FJKLMAA, Fuzhou 350117, Peoples R China
[3] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Peoples R China
基金
中国国家自然科学基金;
关键词
FINITE ITERATIVE ALGORITHM; IDENTIFICATION; ASSIGNMENT;
D O I
10.1016/j.jfranklin.2022.11.003
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
By means of the real linear operator, we establish an iterative algorithm for solving a class of complex generalized coupled Sylvester matrix equations. The finite termination of the proposed algorithm is proved. By representing a complex matrix as a larger real matrix, we present a new method to prove that the minimum-norm solution or minimum-norm least squares solution of the complex generalized coupled Sylvester matrix equations can be obtained by an appropriate selection for the initial matrices, which has not been found in the existing work. Numerical experiments on some randomly generated data and practical image restoration problem show that the proposed algorithm is feasible and effective. (c) 2022 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码:3330 / 3363
页数:34
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